Transformation Of Graph: Dse Exercise Best

The in the HKDSE Mathematics syllabus involves shifting, stretching, and reflecting parent functions. These changes are categorized by whether they affect the -coordinates (horizontal) or -coordinates (vertical). Summary of Graph Transformations Transformation Type Function Form Graphic Effect Coordinate Change (x,y)→open paren x comma y close paren right arrow Vertical Translation Shift up ( 0" style="display: inline"> ) or down ( ) Horizontal Translation Shift right ( 0" style="display: inline"> ) or left ( ) Vertical Stretch Stretch ( 1" style="display: inline"> ) or compress ( ) Horizontal Stretch Compress ( 1" style="display: inline"> ) or stretch ( ) Reflection (x-axis) Flip upside down Reflection (y-axis) Flip left-to-right Step-by-Step Exercise Example Problem: Let the graph have a minimum point at

The graph of ( y = x^2 ) is transformed to ( y = (x + 3)^2 - 4 ). Describe the transformation. transformation of graph dse exercise

is compressed horizontally to half its original width and then shifted upwards by 2 units to form . Find the new equation of in the form 4. Solutions and Explanations Answer 1: A Translate 3 units left →f(x+3)right arrow f of open paren x plus 3 close paren Step 2: Reflect in the -axis (multiply the whole function by -1negative 1 The in the HKDSE Mathematics syllabus involves shifting,